Martingale transforms on Banach function spaces

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5 Citations (Scopus)


We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund. The main result also yields the boundedness of the martingale transforms on rearrangement-invariant Banach function spaces, Orlicz spaces, Lorentz-Karamata spaces, Zygmund spaces, Lebesgue spaces with variable exponents, Morrey spaces with variable exponents and Lorentz-Karamata Morrey spaces. Copyright © 2022 the Author(s), licensee AIMS Press.

Original languageEnglish
Pages (from-to)2247-2262
JournalElectronic Research Archive
Issue number6
Publication statusPublished - Apr 2022


Ho, K.-P. (2022). Martingale transforms on Banach function spaces. Electronic Research Archive, 30(6), 2247-2262. doi: 10.3934/era.2022114


  • Martingale transform
  • Banach function spaces
  • Orlicz spaces
  • Lorentz-Karamata spaces
  • Variable Lebesgue spaces
  • Morrey spaces


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